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Multilayer fluid models play a crucial role in comprehending fluid–fluid and fluid– nanoparticle interactions within the petroleum industry, geophysics, and plasma physics due to their diverse industrial applications. The current research aims to investigate the impact of a heat source/sink on a non-Newtonian hybrid nanofluid that saturates a porous medium positioned between a transparent viscous fluid filling a vertical channel. The model governing nonlinear coupled differential equations are nondimensionalized using appropriate fundamental quantities. Subsequently, the regular perturbation method is employed to solve the transformed dimensionless governing equations. Upon comparing the data, it is evident that current results closely align with the previously published findings. The parameter Q2 causes an increase in both θs(ζ) and θt(ζ) across all three regions. Increasing Casson parameter leads to a decrease in θt(ζ). [ABSTRACT FROM AUTHOR]

AbstractThe study of the movement of blood across a stenotic artery is an important one in the discipline of mathematical fluid mechanics because of the importance it has in the field of biomedical research. The current study’s primary objective is to learn how nanoparticles influence blood flow through a narrowed artery. Within an examination of the theoretical flow situation, we investigate the importance of Casson nanofluid flow across a heart artery. Similarity transformations aid in the conversion of the partial differential equations into ordinary differential equations. After that, the non-dimensional equations are solved by using the MATLAB software in the Bvp5c technique. Enhancing the magnetic characteristics of the blood stream tissues was explored by boosting the magnetic field parameter, leading to a decrease in blood circulation as expected. At higher values of the Casson fluid parameter, the velocity profile decreased. Increasing the concentration of gold particles in the narrowed artery makes it more efficient at transferring heat. The use of iron nanoparticles in medicine delivery is supported by an argument. The method that is currently being used may be of assistance in dispersing pharmaceuticals across the blood stream. We employ a visual representation to facilitate the presentation of this drug delivery mechanism’s theoretical outcomes. [ABSTRACT FROM AUTHOR]